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Finding the Third Proportional to 281,798 and 573,438

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Solution

The third proportional to 281,798 and 573,438 is: 1,166,903.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,798 : 573,438 = 573,438 : x
  2. Step 2: Convert to fraction form
    281,798/573,438 = 573,438/x
  3. Step 3: Cross multiply
    281,798x = 573,438 × 573,438
  4. Step 4: Simplify right side
    281,798x = 328,831,139,844
  5. Step 5: Solve for x
    x = 328,831,139,844/281,798
  6. Step 6: Final answer
    x = 1,166,903.74

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.